Abstract
Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers due to their wide applications. This report discusses the flow of Powell–Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory. Afterwards, similarity transformation has been applied to convert PDEs into associated ODEs. These transformed ODEs have been solved the using finite element procedure (FEP) in the symbolic computational package MAPLE 18.0. The applicability and effectiveness of FEM are presented by addressing grid independent analysis. The reliability of FEM is presented by computing the surface drag force and heat transportation coefficient. The used methodology is highly effective and it can be easily implemented in MAPLE 18.0 for other highly nonlinear problems. It is observed that the thermal profile varies directly with the magnetic parameter, and the opposite trend is recorded for the Prandtl number.
Highlights
Due to rapid developments, the modeling of real phenomena is a hot topic of research due to its numerous applications and physical significance
The numerical approach is adopted as a finite element scheme (FEM) to compute the
The numerical approach is adopted as a finite element scheme (FEM) to compute the solution of highly non-linear ODEs
Summary
The modeling of real phenomena is a hot topic of research due to its numerous applications and physical significance. The modeling of thermal transport is presented with internal heating aspects They tackled the modeled problem via a shooting approach by using the MATHEMATICA computational package. They presented a comparative analysis for the validity and authenticity of the obtained results. Qasim et al [14] utilized Buongiorn’s model to investigate thermal and mass transportation in a thin-film MHD flow model under dissipation via the shooting approach They monitored the enhancement in the mass and heat transportation coefficients against the unsteadiness parameter. The above-listed contributions do not show the use of the Powell–Eyring model over a stretched parabolic surface in the presence of activation energy, Joule heating and MHD effect
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